Well i solved the problem temporally. Is than simpler, only i have to install NVIDIA 340 xx driver ( because my pc have an old graphic card) and the Xorg system ( in wayland doesnt works) and i can do everythings except suspend or sleep mode.

I am already back after several tests in several distros and several teams.
In all my tests I used an AMD PHENOM x4 9950 (it’s already years old) with 8 Gb of DDR2 667 Mhz RAM and two SSD hard drives (one of 120 Gb and another of 240 GB). In all the distros I use GNOME 3 with the NOVEAU driver that comes installed by default (without changes in the software on my part).
The result is:
In Debian, kernel 4.15.0 I can turn off and reset without problems.
In Debian, Kernel 4.16.3 I can reset but not shut down.
In Fedora 28 with the kernel 4.16.8 I can reset but not turn off.
In Fedora 28 with the kernel 4.16.11 I can reset but not turn off.
In Antergos with kernel 4.14.4x I can turn OFF and RESET.
In Antergos with kernel 4.16.11 I can not turn off but reset.

On another computer with the following features I can turn off and reset whatever the software version and the kernel, even with the list that appears before shutting down:
MiniPC with Intel i5 4 Gb of ram (I suppose it is ddr3) and with bios UEFI I do not have those problems.
I deduce therefore that for my team with problems, it may be that some instruction or command of the new kernel will not be compatible with my AWARD BIOS more than 10 years ago.
I’m still looking to see if I see the difference between kernel 4.14.xx and 4.16.xx as soon as it refers to the ACPI system shutdown (or something like that).

@fernandomaroto Sorry, I assumed that the list of errors of the type can not be removed / oldroot could be the problem of shutdown. I explain myself better:
I have Gnome 3.28 with GDM as boot manager instead of lightdm.
My computer CAN be restarted in all tested kernels, but it can only be turned off with kernel 4.14 LTS and kernel 4.15.3 (in Debian Testing). But in Fedora, Debian Sid and any kernel higher than these indicated (superiroes to 4.15 …) I can never turn off the pc.
I have come to this conclusion that the three distributions have in common the current kernel, and all with GNOME as a desktop.

I installed debian testing with the same kernel, Fedora 28 and now I am with Antergos and I still have the same problem. I can not turn off the pc. It crashes with the message “failed to umount / oldroot …” and remains so until I power down the computer from the power button maintained for 6 sec.
I have only managed to turn it off with kernel 4.14 (lts of Antergos).

I have a card Nvidia G96 GT9500 old driver nouveau and motherboard has another graphic card integrated says 8500 but is disabled by bios.